The depth of the water at the end of a pier changes periodically along with the movement of tides. on a particular day, low tides occur at 12:00 a.m. and 3:30 p.m., with a depth of 3.25 meters, while high tides occur at 7:45 a.m. and 11:15 p.m., with a depth of 8.75 meters. which of the following equations models d, the depth of the water in meters, as a function of time, t, in hours? let t = 0 be 12:00 a.m. d = negative 3.75 cosine (startfraction 4 pi over 31 endfraction t) 5 d = negative 3.75 cosine (startfraction 4 pi over 29 endfraction t) 5 d = negative 2.75 cosine (startfraction 4 pi over 31 endfraction t) 6 d = negative 2.75 cosine (startfraction 4 pi over 29 endfraction t) 6

Answers

Answer 1

In this exercise we have to calculate the value of the water depth, so we have: d=5.5Cos(12t)+6

What are periodic waves?

A periodic wave is a wave with a repeating continuous pattern that determines its wavelength and frequency

Putting together some information given in the statement we have:

The minimum depth of 3.25 m occurs at 12:00 am and at 3:30 pm.Therefore the period t=0 will be  12:00 am.The maximum depth of 8.75 m occurs at 7:45 am and at 11:15 pm.

Knowing that the formula will be given by an equation similar to:

[tex]d=acos(bt)+k[/tex]

Where:

d = depth, mt = time, hoursa= amplitude

The amplitude difference is given by:

[tex]8.75-3.25=5.5\ m[/tex]

The mean depth is:

[tex]k=\dfrac{(3.25+8.75)}{2}=6\ m[/tex]

Then writing the equation with;

[tex]d=acos(bt)+k\\\\d=5.5cos(12t)+6[/tex]

Hence the value of water depth will be d=5.5Cos(12t)+6

To know more about Periodic wave follow

https://brainly.com/question/11736139


Related Questions

PLEASE PLEAS HELP ME !!!
please help me I will give BRAINLY , 5 STARS and a THANKS

Answers

Answer:

2, 4, 8

Step-by-step explanation:

Well, it says Max put $1 on the first day(which is already entered for you), then it says that he put in $2 on the second day. Then it says that he doubles how much he puts in each day after, which just means to multiply the last entered amount by 2. So, he put in 2 x 2 = $4 on the third day, and lastly, 4 x 2 = $8 on the fourth day.

Hope this helps :)

$6.62 for 2 pounds of tomato’s

Answers

Answer:

$3.31 for each

Step-by-step explanation:

$6.62 divided by 2 = $3.31

Answer:

$6.62 divided by 2= $3.31

Step-by-step explanation:

What your going to do is divide 6 by 2 = 3

Next divided 62 by 2 = 32

Easy =)

Have a great day/night

A car can travel 294 kilometers on 21 liters of gasoline. How much gasoline will it need to go 42 kilometers?

Answers

Answer:

7

Step-by-step explanation:

Can someone help me solve this problem? 100-[5×(3+4)]​

Answers

solve the first bracket first (3+4)
so you have 100-[5x7]
then you do the next bracket [5x7]
so you have 100-35
100-35=65
:)

Answer:

65

Step-by-step explanation:

Use PEDMAS

P - Parenthesis ; E - exponents ; D -division ; M - mulitplication ;

A - Addition ;  S- subtraction.

First do the operation in the inner most parenthesis.

100 - [ 5 *(3 + 4)] = 100 - [ 5* 7 ]   {Now the outer parenthesis}

                             = 100 - 35

                             =  65

please help me with this
Thanks~

Answers

the one above, (-6,8)

Answer:

(-6,8)

Step-by-step explanation:

How to solve (3x)^0 for applying the exponent rule for zero exponents

Answers

Any 0 power or exponent is equals to 1
So the answer is 1

Harry takes medicine every day. If the dosage is 0.2 of a gram per day, what is the total amount of medicine he consumes in a week?

Answers

Answer:

1.4 grams of medison for thr whole week combinded

Answer:

1.4 g

Step-by-step explanation:

0.2 gram per day x 7 days = 1.4 g total consumed in a week

Find an equation for the line that passes through the points (6, -1) and (-6, 2).

Answers

Answer:

[tex]D : y = \frac{-1}{4}x + \frac{1}{2}[/tex]

Step-by-step explanation:

let D be the line that passes through the points (6, -1) and (-6, 2)

Then D has an equation of the form D: y = ax + b

Now we need to find a and b in order to be able to write the equation of the line D:

[tex]a = \frac{-1-2}{6-(-6)}= \frac{-3}{12}= \frac{-1}{4}[/tex]

Since the point (6 , -1) lies on the line D then :

-1 = (-1/4) × (6) + b

then

-1 = (-6/4) + b

then 

b = -1 - (-6/4) = -1 + 6/4 = -4/6 + 6/4 = (-4+6)/4 = 2/4 = 1/2

then

b = 1/2

Conclusion:

Since a = -1/4 and b = 1/2 then

[tex]D : y = \frac{-1}{4}x + \frac{1}{2}[/tex]

A number, n, is multiplied by −0. 7. The product is -1/2. What is the value of n?​

Answers

Step-by-step explanation:

-0.7n = -1/2

-0.7n = -0.5

n = 0.5/0.7

n = 0.715

Please I Need Help 20pts



To rent a certain meeting room, a college charges a reservation fee of $39 and an additional fee of $9.80 per hour. The math club wants to spend at most $117.40 on renting the meeting room. What are the possible amounts of time for which they could rent the meeting room? Use t for the number of hours the meeting room is rented, and solve your inequality for t.

Answers

Answer:

0 < t ≤ 8  (in hours)

Up to (and including) 8 hours

Step-by-step explanation:

Let t = number of hours the room is rented

Given:

Reservation fee = $39Fee per hour = $9.80Maximum total cost = $117.40

Create an equation using the given information and solve for t:

⇒ 39 + 9.8t ≤ 117.4

Subtract 39 from both sides:

⇒ 9.8t ≤ 78.4

Divide both sides by 9.8

⇒ t ≤ 8

Therefore, the possible amounts of time for which they could rent the meeting room is 0 < t ≤ 8  (in hours)

Answer:

8 is the very maximum number of hours the room can be rented. As long as 8 is not exceeded, the room is rentable for what money the math club has.

Step-by-step explanation:

Givens

Maximum payment = 117.40Cost per hour = 9.80Fixed charge = 39 dollars

Formula

payment ≥ 39 + 9.80*t                where t is in hours.

Solution

117.40 ≥ 39 + 9.80*t                      Subtract 39 from both sides.

117.40 - 39 ≥9.80*t

78.40 ≥ 9.80*t                               Divide by 9.8

78.40/9.80 ≥ 9.80*t/9.80

8 ≥ t    

Answer t≥ 8

What is b if a=2x and c= 8x on a right triangle

Answers

B is 5.625

A=2x

C=8x

5.625x2(x)*8(x)=90

If I got this right pls give brainlest.

Follow me!

Jalynn Gadson=Twitt...

Jalynn Gadson=Pin....

jtgadson31=here on Brain....

An atrium is being designed to house an exhibit of tropical birds. The atrium must enclose 250,000 cubic feet of space, and the designer wants it to have the shape of a hemisphere. Is such a design possible given that the plot of land on which it will be built is a rectangle 90 feet wide and 100 feet long?

Answers

The proposed design of the atrium (V < V') is possible since its volume is less than the maximum possible atrium.

Can this atrium be built in the rectangular plot of land?

The atrium with the maximum allowable radius (R), in feet, is represented in the image attached. The real atrium is possible if and only if the real radius (r) is less than the maximum allowable radius and therefore, the real volume (V), in cubic feet, must be less than than maximum possible volume (V'), in cubic feet.

First, we calculate the volume occupied by the maximum allowable radius:

V' = (8 · π / 3) · (45 ft)³

V' ≈ 763407.015 ft³

The proposed design of the atrium (V < V') is possible since its volume is less than the maximum possible atrium. [tex]\blacksquare[/tex]

To learn more on volumes, we kindly invite to check this verified question: https://brainly.com/question/13338592

9(3+x)=4(3+x)
Answer with steps

Answers

Answer:

x = 2.5

Step-by-step explanation:

Expand the brackets[tex]27+9x=12+3x[/tex]Subtract 3x from both sides[tex]27+6x=12[/tex]Subtract 27 from both sides[tex]6x=-15[/tex]Divide both sides by 6[tex]x=2.5[/tex]

Answer:

x = -3

Step-by-step explanation:

9(3+x) = 4(3+x)

9(3+x) - 4(3+x) = 0

(9-4)(3+x) = 0

5(3+x) = 0

15+5x = 0

-15 = 5x

x = -3

I need to put this equation into standard form help please!
-4.9t²+7.5t+1.8=21

Answers

This equation into standard form is about 20.5
Answer:

20.5 yeah :)

"HABANG BUHAY SONG"

line A is perpendicular to line B. if the slope of line A is -5/3, what is the slope of line B?

Answers

Answer: 3/5

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals of each other.

Madden needs to choose an object for his math project that shows volume. He has a choice between a container for catching bugs and a poster from his favorite movie. Which item should Madden choose and why?

Answers

Answer:

container for catching bugs because posters have nothing to do with volume

Answer:

I think Madden should go for the poster because poster have more angles as well as width length and height.

Step-by-step explanation:

Brainliest??????

pls help this is due in a bit

Answers

Answer:

multiply base area by 2 , and add the base perimiter and height

Step-by-step explanation:

hope this helped

Determine the amplitude or period as requested.

Period of y = negative one-third sine 2 x
a.
Negative one-third
b.
StartFraction pi Over 3 EndFraction
c.
One-third
d.
Pi

Answers

C. One- third. Plato!!

The time period of the given function will be π.

What is a expression? What is a mathematical equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the following expression -

y = (-1/3)sin(2x)

We have -

y = (-1/3)sin(2x)

We can write -

ωx = 2x

Now -

ω = 2π/T

(2π/T)x = 2x

2π/T = 2

T = 2π/2

T = π

Therefore, the time period of the given function will be π.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ2

0.21 Divided by 7 I would like to know how to solve the equation

Answers

Answer:

0.03

Step-by-step explanation:

[tex] \frac{0.21}{7} [/tex]

==>

[tex] \frac{0.21 \times 100}{7 \times 100} [/tex]

===>

[tex] \frac{21}{7} \times \frac{1}{100} [/tex]

==>

[tex]3 \times \frac{1}{100} [/tex]

==>

[tex] \frac{3}{100} [/tex]

==>

[tex]0.03[/tex]

help me I need to make sure I got the correct answer.

Answers

Answer:

I dont know pls ask you parents...

Step-by-step explanation:

I dont know

Fill in the missing numbers

Answers

Answer:

(x - 4)

Step-by-step explanation:

x² - x - 12

to factor consider the factors of the constant term (- 12) which sum to give the coefficient of the x- term (- 1)

the factors are + 3 and - 4 , since

3 × - 4 = - 12 and + 3 - 4 = - 1 , then

x² - x - 12 = (x + 3)(x - 4) ← in factored form

The variables a, b, and c represent polynomials where a = x2, b = 3x 2, and c = x – 3. what is ab – c2 in simplest form? 3x3 2x2 – x 3 3x3 2x2 – x – 3 3x3 x2 – 6x 9 3x3 x2 6x – 9

Answers

The simplest form of a^2-ab is given by 3x^3 + x^2 + 6x - 9.

We have given that,

a = x^2,

b = 3x + 2,

c = x – 3

We have to determine ab- c^2.

What is the meaning of the simplest form?

A fraction is in its simplest form when the numerator and the denominator have no common factors besides one.

ab- c^2

[tex]=x^2(3x+2) - (x-3)^2\\ =3x^3 + 2x^2 - (x^2 - 6x + 9) \\=3x^3 + 2x^2 - x^2 + 6x - 9 \\=3x^3 + x^2 + 6x - 9\\[/tex]

The simplest form of a^2-ab is given by 3x^3 + x^2 + 6x - 9.

To learn more about the simplest form visit:

https://brainly.com/question/29114

PLS HELPPP I HAVE NO IDEA WHAT THIS IS HELPPPPP

Answers

The volume of the whole object is 12.


If you split the object in two, the top rectangle and the bottom, then you can calculate both the volumes and add them together. The top part is 1*2*2=4, the bottom is 4*2*1=8, 8+4=12.

Ps. The star (*) is a multiplication symbol.

WILL GIVE BRAINLIESTTT, FIVE STARS, AND THANKS
can someone explain this to me and what the question means and is asking?

Answers

The x-intercepts represent when the ball is at height=0

In other words, it shows when the ball hits the ground.

Pls Pls help!! It's due soon!!

Answers

Answer:

-2,4

Step-by-step explanation:

to do a reflection across the y axis, apply -x,y to your coordinates

Need help
read the question first

Answers

Answer:

  A. horizontal velocity is constant at 25 m/s in every interval

  B. downward velocity increases by 9.8 m/s each second, to 19.6 m/s, 29.4 m/s, 39.2 m/s, 49.0 m/s

Step-by-step explanation:

A.

Since the ball is not rocket-powered, it has no acceleration in the horizontal direction. (We ignore slowing due to air friction.) The horizontal velocity remains constant at 25 m/s.

__

B.

The vertical acceleration is given as 9.8 m/s² in the downward direction. That is, each second the ball is in motion, its velocity downward increases by 9.8 m/s. The table can be filled with ...

  t = 2 s, v = -19.6 m/s

  t = 3 s, v = -29.4 m/s

  t = 4 s, v = -39.2 m/s

  t = 5 s, v = -49.0 m/s

__

The sign is negative because the direction is downward. Positive is up.

What is 3^2, 5^3, and 9^2? I need some test help.

Answers

Answer:

3^2=9 5^3=125 9^2=81

Step-by-step explanation:

exponent is just multiplying the base by itself however we many times the exponent's (the small number on the top right of the base) value is

base-->5^3<--exponent

3^2=3×3=9

5^3=5×5×5=125

9^2=9×9=81

example

6^4=6×6×6×6=1296

Umberto bought a car for 28,000 the car is depreciating ata rate of 9% per year what wil be the approximent value of the car after 5 years

Answers

[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &28000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years\dotfill &5\\ \end{cases} \\\\\\ A=28000(1 - 0.09)^{5}\implies A=28000(0.91)^5\implies A\approx 17472.90[/tex]

Latoya drove 585 miles in 9 hours. At the same rate, how many miles would she drive in 13 hours?

Answers

Answer:

845 miles

Step-by-step explanation:

Hope this helps!

Huuuurrrryyy Pllllzzzzz!!!!?!???!!


A garden measuring 8 feet by 12 feet will have a walkway around it. The walkway

has a uniform width, and the area covered by the garden and the walkway is

192 square feet. What is the width of the walkway?

A. 2 feet

B. 3. 5 feet

C. 4 feet

D. 6 feet

Answers

By solving a quadratic equation, we will see that the width of the walkway is 3ft.

How to get the width of the walkway?

Remember that for a rectangle of length L and width W, the area is:

A = W*L

Now, we know that for our garden we have:

W = 8ft

L = 12ft

If we add a walkway of width x around the garden, then the new measures are:

W' = 8ft + 2x

L' = 12ft + 2x

So the area is:

A' = ( 8ft + 2x)*( 12ft + 2x)

And we know that it is equal to 192 ft^2, then:

192 ft^2 = ( 8ft + 2x)*( 12ft + 2x)

Now we can solve this for x.

192ft^2 = 96ft^2 + 4x^2 + 20ft*x

0 = 96ft^2 - 192ft^2 + 20ft*x + 4x^2

0 = -96ft^2 + 20ft*x + 4x^2

This is a quadratic equation, and the solutions are given by the Bhaskara's formula:

[tex]x = \frac{-20ft \pm \sqrt{(20ft)^2 - 4*4*(-96ft^2)} }{2*4} \\\\x = \frac{-20ft \pm 44ft}{8}[/tex]

We only take the positive solution, so we get:

x = (-20ft + 44ft)/8 = 3ft

So the width of the walkway is 3ft.

If you want to learn more about quadratic equations, you can read:

https://brainly.com/question/1214333

Other Questions
We are on my trigonometry unit and I dont understand this question. I need work shown if at all possible! What is the value of log subscript 625 baseline 5? 4 negative one-fourth one-fourth 4 you would not believe your eyesten million fireflieslight up the world as i fall asleep what song is this? dont use go/ogle 44 markers cost \$7.04$7.04dollar sign, 7, point, 04. which equation would help determine the cost of 777 markers? How did Rusk feel about the South Vietnamese government's ability to fight theCommunists? Support your answer with evidence. Help asap no links or i will report Which choices describe a characteristics of a species that is likely to become invasive?Select all that apply.A. thrives near human developmentsB. tolerates a range of environmentsC. highly specializedD. reproduces rapidly Melissa reads in a parenting magazine that the average age at which children first walk on their own is twelve months old, and most children walk within the range of nine to seventeen months old. The article is discussing the concept of Hormones regulate the development of the male reproductive tract. which hormone must be present during embryogenesis in order for the vas deferens, epididymis and seminal vesicles to form? Choose the word that shows correct capitalization format9. Is the name of the football team in dallas, Texas, the cowboys or the broncos? (1 point)A. dallasB. TexasC. cowboysD. broncos In The Scarlet Ibis, how does the death of the scarlet ibis foreshadow the death of Doodle? When is the small size of gas particles taken into account?No bots! Hello so im starting a new hobby by making art because someone inspired me to keep doing what i like can you guys tell me if i should give this to my teacher for an art project? also rate 0-10 Evidently, spilling the beans in the beginning of a play is a trend in storytelling because famous playwrights Sophocles and Shakespeare both use this technique on more (2) then one occasion.Is it then or than? Please fill some for me for 100 points and Brainliest!ASAP! Por cinco boletos para un concierto de rock y tres boletos para un partido de ftbol se pagaron $720 y por dos boletos para el mismo concierto y seis para el mismo partido de ftbol se pagaron $480 Cul es el valor del boleto para cada uno de los eventos? ______ is used to extract knowledge from sources of data-NoSQL databases, Hadoop data stores, and data warehouses-to provide decision support to all organizational users. chapter 14 how do I find the area of composite figures Which is a result of Squanto's negotiations with colonists?O the end of the Pequot War.O the enslavement of the PequotO an agreement for Indigenous peoples to obey English lawO an alliance between colonists and the Wampanoag Find the next two terms in this sequence. 50,40,31,23,16,[???][???] A sound wave travels through iron at a rate of 3120 / s . At what rate does the sound wave travel in / h?